GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
We study integrable models solvable by the nested algebraic Bethe ansatz and possessing the GL(3)-invariant R-matrix. We consider a composite model where the total monodromy matrix of the model is presented as a product of two partial monodromy matrices. Assuming that the last ones can be expanded i...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2015 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147135 |
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| Cite this: | GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators / S. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 39 назв. — англ. |
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Pakuliak, S. Ragoucy, E. Slavnov, N.A. 2019-02-13T17:19:52Z 2019-02-13T17:19:52Z 2015 GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators / S. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 39 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B37; 81R50 DOI:10.3842/SIGMA.2015.64 https://nasplib.isofts.kiev.ua/handle/123456789/147135 We study integrable models solvable by the nested algebraic Bethe ansatz and possessing the GL(3)-invariant R-matrix. We consider a composite model where the total monodromy matrix of the model is presented as a product of two partial monodromy matrices. Assuming that the last ones can be expanded into series with respect to the inverse spectral parameter we calculate matrix elements of the local operators in the basis of the transfer matrix eigenstates. We obtain determinant representations for these matrix elements. Thus, we solve the inverse scattering problem in a weak sense. The work of S.P. was supported in part by RFBR-Ukraine grant 14-01-90405-ukr-a. N.A.S. was supported by the Program of RAS “Nonlinear Dynamics in Mathematics and Physics”, RFBR14-01-00860-a, RFBR-13-01-12405-ofi-m2. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators |
| spellingShingle |
GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| title_short |
GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators |
| title_full |
GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators |
| title_fullStr |
GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators |
| title_full_unstemmed |
GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators |
| title_sort |
gl(3) -based quantum integrable composite models. ii. form factors of local operators |
| author |
Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| author_facet |
Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| publishDate |
2015 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We study integrable models solvable by the nested algebraic Bethe ansatz and possessing the GL(3)-invariant R-matrix. We consider a composite model where the total monodromy matrix of the model is presented as a product of two partial monodromy matrices. Assuming that the last ones can be expanded into series with respect to the inverse spectral parameter we calculate matrix elements of the local operators in the basis of the transfer matrix eigenstates. We obtain determinant representations for these matrix elements. Thus, we solve the inverse scattering problem in a weak sense.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147135 |
| fulltext |
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| citation_txt |
GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators / S. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 39 назв. — англ. |
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| first_indexed |
2025-11-24T15:04:59Z |
| last_indexed |
2025-11-24T15:04:59Z |
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